book:chap1:1.1_basic_notions_of_mechanics
Differences
This shows you the differences between two versions of the page.
Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
book:chap1:1.1_basic_notions_of_mechanics [2021/11/01 00:58] – jv | book:chap1:1.1_basic_notions_of_mechanics [2024/10/26 12:19] (current) – jv | ||
---|---|---|---|
Line 1: | Line 1: | ||
+ | [[basics| 1. Basic Principles]] | ||
+ | * **1.1 Basic notions of mechanics** | ||
+ | * [[ 1.2 Dimensional analysis ]] | ||
+ | * [[ 1.3 Order-of-magnitude guesses ]] | ||
+ | * [[ 1.4 Problems ]] | ||
+ | * [[ 1.5 Further reading ]] | ||
+ | |||
+ | ---- | ||
+ | |||
===== 1.1 Basic notions of mechanics ===== | ===== 1.1 Basic notions of mechanics ===== | ||
Line 20: | Line 29: | ||
and $\mathbf x_i$ may be thought of as a vector in $\mathbb{R}^D$. | and $\mathbf x_i$ may be thought of as a vector in $\mathbb{R}^D$. | ||
We say that $\mathbf x_i$ is a $D$-vector. | We say that $\mathbf x_i$ is a $D$-vector. | ||
- | In [[book: | + | In [[book: |
</ | </ | ||
Line 35: | Line 44: | ||
<WRAP box round> | <WRAP box round> | ||
- | We wish to follow the trajectory of a piece of chalk through the lecture hall. | + | We wish to follow the trajectory of a piece of chalk through the lecture hall (i.e., when it is thrown, **not** when somebody is using it to write on a blackboard). |
In order to follow its position and orientation in space, we //decide// to model it | In order to follow its position and orientation in space, we //decide// to model it | ||
as a set of two masses that are localized at the tip and at the tail of the chalk. | as a set of two masses that are localized at the tip and at the tail of the chalk. | ||
Line 97: | Line 106: | ||
</ | </ | ||
- | <WRAP box round> | + | <WRAP box round #Defi_IC> |
equations of motion}} | equations of motion}} | ||
ordinary differential equation}} | ordinary differential equation}} |
book/chap1/1.1_basic_notions_of_mechanics.1635724722.txt.gz · Last modified: 2021/11/01 00:58 by jv